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Equation 5 · Part 1 · From Origins to Frontier: A History of Frontier AI Model Comparisons

Symbol B

BB
BB

What this part means

modeled as a logistic function of the difference between two scalar ratings.

Its job in the formula

B is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

Pairwise votes of this kind are naturally converted into a single continuous rating using a Bradley–Terry-style model — the same functional form used for chess Elo ratings — in which the probability that a rater prefers system A over system B is modeled as a logistic function of the difference between two scalar ratings:

The passage around this formula

…kind are naturally converted into a single continuous rating using a Bradley–Terry-style model — the same functional form used for chess Elo ratings — in which the probability that a rater prefers system A over system B is modeled as a logistic function of the difference between two scalar ratings:

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Sources cited in the surrounding passage

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